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Finding the Fourth Proportional to 799.46, 1,102.14 and 550.38

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Solution

The fourth proportional to 799.46, 1,102.14 and 550.38 is: 758.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.46 : 1,102.14 = 550.38 : x
  2. Step 2: Convert to fraction form
    799.46/1,102.14 = 550.38/x
  3. Step 3: Cross multiply
    799.46x = 1,102.14 × 550.38
  4. Step 4: Simplify right side
    799.46x = 606,595.81
  5. Step 5: Solve for x
    x = 606,595.81/799.46
  6. Step 6: Final answer
    x = 758.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.